(a) A load receives 400 V through a transmission line. The line current is 20A. The power factor is 0.9. The transmission line has a resistance of 1 Q. (i) Calculate the power loss in the transmission line. (ii) Calculate the active power delivered to the load. (iii) Calculate the reactive power delivered to the load.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.63P: A 23/230-kV step-up transformer feeds a three-phase transmission line, which in turn supplies a...
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21.
(a) A load receives 400 V through a transmission line. The line current is 20A. The power
factor is 0.9. The transmission line has a resistance of 1 Q.
(i) Calculate the power loss in the transmission line.
(ii) Calculate the active power delivered to the load.
(iii) Calculate the reactive power delivered to the load.
(b) A single-phase transformer is rated at 200V/1000V. The secondary voltage of the
transformer is v(t) = 1400 cos (100nt + 7/3) V when a load of 100 2 is connected.
(i) Calculate the primary RMS voltage.
(ii) Calculate the load reflected on to the primary side.
(iii) Calculate the power delivered to the load.
(c) A DC motor, which is supplied by a 30 V DC power source, is operating at a constant
motor speed of 600 rpm. The motor has an armature resistance of 0.2 and a back-
emf of 28 V. Determine the following:
(i) The current drawn by the motor.
(ii) The torque produced by the motor.
(iii) The power loss in the armature.
Transcribed Image Text:21. (a) A load receives 400 V through a transmission line. The line current is 20A. The power factor is 0.9. The transmission line has a resistance of 1 Q. (i) Calculate the power loss in the transmission line. (ii) Calculate the active power delivered to the load. (iii) Calculate the reactive power delivered to the load. (b) A single-phase transformer is rated at 200V/1000V. The secondary voltage of the transformer is v(t) = 1400 cos (100nt + 7/3) V when a load of 100 2 is connected. (i) Calculate the primary RMS voltage. (ii) Calculate the load reflected on to the primary side. (iii) Calculate the power delivered to the load. (c) A DC motor, which is supplied by a 30 V DC power source, is operating at a constant motor speed of 600 rpm. The motor has an armature resistance of 0.2 and a back- emf of 28 V. Determine the following: (i) The current drawn by the motor. (ii) The torque produced by the motor. (iii) The power loss in the armature.
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